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Finding the Third Proportional to 172,589 and 370,795

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Solution

The third proportional to 172,589 and 370,795 is: 796,626.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,589 : 370,795 = 370,795 : x
  2. Step 2: Convert to fraction form
    172,589/370,795 = 370,795/x
  3. Step 3: Cross multiply
    172,589x = 370,795 × 370,795
  4. Step 4: Simplify right side
    172,589x = 137,488,932,025
  5. Step 5: Solve for x
    x = 137,488,932,025/172,589
  6. Step 6: Final answer
    x = 796,626.27

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.